Renormalization-group study of the Ashkin-Teller-Potts model in two dimensions

Dasgupta, Chandan (1977) Renormalization-group study of the Ashkin-Teller-Potts model in two dimensions Physical Review B, 15 (7). pp. 3460-3464. ISSN 0163-1829

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Official URL: http://prb.aps.org/abstract/PRB/v15/i7/p3460_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.15.3460

Abstract

The critical behavior of the s-state Ashkin-Teller-Potts model on a square lattice is studied for s=3, 4, and 5, using a variational renormalization-group transformation of the type introduced by Kadanoff. For the s=3 and s=4 models, the transformation correctly predicts a continuous phase transition. The calculated values of the critical exponents and the transition temperature are consistent with the results obtained from other approaches. For s=5, however, the transformation fails to detect the first-order transition that is known to occur.

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ID Code:22869
Deposited On:25 Nov 2010 13:56
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